What is the Greatest Common Factor of 96510 and 96526?

Greatest common factor (GCF) of 96510 and 96526 is 2.

GCF(96510,96526) = 2

We will now calculate the prime factors of 96510 and 96526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96510 and 96526.

How to find the GCF of 96510 and 96526?

We will first find the prime factorization of 96510 and 96526. After we will calculate the factors of 96510 and 96526 and find the biggest common factor number .

Step-1: Prime Factorization of 96510

Prime factors of 96510 are 2, 3, 5, 3217. Prime factorization of 96510 in exponential form is:

96510 = 2¹ × 3¹ × 5¹ × 3217¹

Step-2: Prime Factorization of 96526

Prime factors of 96526 are 2, 17, 167. Prime factorization of 96526 in exponential form is:

96526 = 2¹ × 17² × 167¹

Step-3: Factors of 96510

List of positive integer factors of 96510 that divides 96510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3217, 6434, 9651, 16085, 19302, 32170, 48255

Step-4: Factors of 96526

List of positive integer factors of 96526 that divides 96510 without a remainder.

1, 2, 17, 34, 167, 289, 334, 578, 2839, 5678, 48263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96510 and 96526. The biggest common factor number is the GCF number.
So the greatest common factor 96510 and 96526 is 2.

Also check out the Least Common Multiple of 96510 and 96526